EP0629269A1 - Helicopter noise reduction through gearing modifications. - Google Patents
Helicopter noise reduction through gearing modifications.Info
- Publication number
- EP0629269A1 EP0629269A1 EP93905860A EP93905860A EP0629269A1 EP 0629269 A1 EP0629269 A1 EP 0629269A1 EP 93905860 A EP93905860 A EP 93905860A EP 93905860 A EP93905860 A EP 93905860A EP 0629269 A1 EP0629269 A1 EP 0629269A1
- Authority
- EP
- European Patent Office
- Prior art keywords
- bull
- modified
- transmission
- gearing
- spur gearing
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
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- 230000004048 modification Effects 0.000 title description 19
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- 230000005540 biological transmission Effects 0.000 claims abstract description 85
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- 230000001965 increasing effect Effects 0.000 claims abstract description 18
- 244000309464 bull Species 0.000 claims description 179
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- FYYHWMGAXLPEAU-UHFFFAOYSA-N Magnesium Chemical compound [Mg] FYYHWMGAXLPEAU-UHFFFAOYSA-N 0.000 description 3
- 229910000831 Steel Inorganic materials 0.000 description 3
- 229910052749 magnesium Inorganic materials 0.000 description 3
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- 229910000861 Mg alloy Inorganic materials 0.000 description 2
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Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/08—Profiling
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/08—Profiling
- F16H55/0806—Involute profile
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B64—AIRCRAFT; AVIATION; COSMONAUTICS
- B64C—AEROPLANES; HELICOPTERS
- B64C27/00—Rotorcraft; Rotors peculiar thereto
- B64C27/04—Helicopters
- B64C27/12—Rotor drives
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/08—Profiling
- F16H55/088—Profiling with corrections on tip or foot of the teeth, e.g. addendum relief for better approach contact
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/08—Profiling
- F16H55/0886—Profiling with corrections along the width, e.g. flank width crowning for better load distribution
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H57/00—General details of gearing
- F16H57/0006—Vibration-damping or noise reducing means specially adapted for gearings
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T74/00—Machine element or mechanism
- Y10T74/19—Gearing
- Y10T74/19949—Teeth
- Y10T74/19963—Spur
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T74/00—Machine element or mechanism
- Y10T74/19—Gearing
- Y10T74/19949—Teeth
- Y10T74/19963—Spur
- Y10T74/19972—Spur form
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T74/00—Machine element or mechanism
- Y10T74/21—Elements
- Y10T74/2186—Gear casings
Definitions
- the present invention is directed to systems and methods for reducing noise levels resulting from transmission vibrations, and more particularly, to configurational modifications in the reduction gearing of a transmission system for abating undesirable noise levels due to differential thermal expansion of the gearbox housing.
- the system and method of the present invention has particular utility in abating main transmission gearbox noise generation in helicopters such as the S-76 ® (S-76 is a registered trademark of the Sikorsky Aircraft
- Noise control is a primary concern for the transmission design engineer, and particularly so in the design of the helicopter main transmission. Excessive vibrations generated by transmissions typically result in undesirable noise levels in helicopter cockpits and/or cabins, which causes operator/passenger aural discomfort. Cabin and/or cockpit noise abatement is a particular concern in helicopters wherein the final stage of reduction gearing of the main transmission comprises one or more bull pinions interacting with a central bull gear.
- Sikorsky helicopters of the S-76 ® series e.g., S-76A, S-76B, S-76C
- a main transmission that includes three stages of reduction gearing: a first stage for each engine output consisting of helical gearing, an intermediate stage consisting of spiral bevel gearing, and a final reduction stage comprising a central bull gear that intermeshes with right and left hand bull pinions (to combine the inputs of the two engines that provide the motive power for S-76 ® helicopters) .
- Research has shown that the cockpit and/or cabin noise levels of S-76 ® helicopters are primarily the result of vibrations originating in the main transmission.
- Narrow band Fast Fourier Transform (FFT) analyses, A-weighted octave levels, and overall DBA levels recorded in the cockpits and/or cabins of S- 76A, S-76B, and S-76C helicopters indicate that interior noise levels are predominately the result of vibrations occurring at the bull gearing meshing frequency of 778 Hz, as illustrated in Figure 1.
- Figure 2 is a schematic representation of an exemplary three stage main transmission that depicts the meshing interaction between the central bull gear and two bull pinions.
- Figure 2A illustrates the idealized intermeshing relationship
- An effective solution for noise abatement can only be implemented based upon the identification and understanding of the causal parameter(s) of main transmission vibration generation.
- One object of the present invention is the abatement of undesirable noise levels generated by vibrations emanating from main transmissions.
- Another object of the present invention is the reduction of vibration levels generated by transmissions due to mismeshing gearing.
- Yet another object of the present invention is to minimize gearing mismesh due to differential thermal expansion of localized areas of transmission gearbox housings.
- Still another object of the present invention is to minimize gearing mismesh by configurationally modifying interacting gears of a transmission gearbox subject to differential thermal expansion.
- a further object of the present invention is to configurationally modify interacting gears to effectively change the centerline spacing therebetween wherein the operating contact ratio of such interacting gears at engine start up is greater than the design contact ratio thereof such that at stabilized transmission operating conditions the operating contact ratio is substantially equal to the design contact ratio.
- Yet a further object of the present invention is to configurationally modify interacting gears by increasing the chordal addenda of the gear teeth thereof based upon the computed increase in centerline spacing of such interacting gears due to differential thermal expansion of the transmission gearbox housing wherein the increase in outer diameters of such interacting gears provides the effective change in centerline spacing.
- Still a further object of the present invention is to configurationally modify interacting gears by increasing the lead correction of the drive gear thereof to counteract induced canting of such interacting gears due to differential thermal expansion of the transmission gearbox housing.
- Such temperature variations across and between localized areas of the upper and lower casings of the gearbox housing produce differential thermal expansion effects in and between the upper and lower casings of the gearbox housing.
- Differential thermal expansion effects, i.e., growth, deflections, in and between the upper and lower casings of the gearbox housings induce spatial misalignments, relative radial displacements of centerlines, induced canting, between the central bull gear and the corresponding bull pinion(s) of the transmission. These spatial misalignments result in mismeshing between such gearing, which causes increases in bull gearing vibration levels.
- the inventors have modified selected configurational parameters of the bull gearing within the constraint of minimizing changes to the existing gearing configurational parameters of the transmission. More specifically, material has been added to the top lands of the gear teeth to configurationally modify the central bull gear and the bull pinions of the transmission. These material additions increase the chordal addenda of all gear teeth of both the modified central bull gear and the modified bull pinions. For the S-76 ® transmission, the central modified bull gear and the modified bull pinions have chordal addenda extended by about 0.015 inches.
- chordal addenda of the modified central bull gear and the modified bull pinions results in increases in the respective outside diameters of the modified central bull gear and the modified bull pinions, while maintaining pitch diameters thereof constant.
- forgoing modifications of the chordal addenda result in a modified central bull gear and modified bull pinions having base circle diameters and root diameters equivalent to the bull gearing of the prior art S-76 ® transmission gearbox as well as the same number of gear teeth, the same diametral pitch, and the same pressure angle.
- chordal addenda of the bull gearing according to the present invention are operative to provide an effective centerline spacing for the transmission such that the bull gearing thereof has an operating contact ratio of about 1.83 at engine start up (versus a design contact ratio of about 1.60) .
- the operating contact ratio is substantially equal to the design contact ratio due to the effects of differential thermal expansion on the transmission housing.
- the modified bull pinions according to the present invention are further modified to have an increased lead correction to counteract the differential thermal expansion effects of the transmission gearbox housing.
- the helix angle of the modified bull pinions is approximately one and two- thirds times as great as the helix angle of the prior art bull pinions.
- Figure 1 is a graph illustrating the frequency components of the noise generated by vibrations from an S-76 ® main transmission.
- Figure 2 is a schematic representation of an exemplary three stage main transmission depicting the meshing interaction between the central bull gear and two bull pinions.
- Figure 2A illustrates an idealized meshing interaction between the central bull gear and a bull pinion of Figure 2.
- Figure 3A is an external perspective view of an S-76 ® main transmission gearbox.
- Figure 3B is an internal cross-sectional view of the gearbox of Figure 3A.
- Figure 4 depicts canting between the central bull gear and the bull pinion of Figure 2 induced by differential thermal expansion of the gearbox housing.
- Figure 5A is a perspective view illustrating the configuration of an exemplary spur gear.
- Figure 5B is a cross-sectional view of a gear tooth of Figure 5A.
- Figure 6A is a cross-sectional view of a modified bull pinion according to the present invention.
- Figure 6B is a partial cross-sectional view, taken along line B-B of Figure 6A, of a gear tooth of the modified bull pinion.
- Figure 6C is an involute profile chart for the gear teeth of the modified bull pinion of the present invention.
- Figure 7A is a cross-sectional view of a modified central bull gear according to the present invention.
- Figure 7B is a partial cross-sectional view, taken along line B-B of Figure 7A, of a gear tooth of the modified central bull gear.
- Figure 7C is an involute profile chart for the gear teeth of the modified central bull gear of the present invention.
- Figure 8 is a top plan view of a gear tooth of the modified bull pinion according to the present invention schematically illustrating the lead correction modification thereof.
- Tail rotor take-off torque data indicated a linear increase in bull gearing vibration levels of about 0.8 dB per ten percent increase in tail rotor torque over the range of forty to one hundred percent of full rating. Test data also showed that bull gearing vibration levels generally increased as expected with increases in torque at equivalent speeds. Test data further showed a pronounced rise in bull gearing vibration levels with increases in speed (at given torque settings) from about 90% N r to 107% N r .
- Test data reveals, however, that operating temperature has the most significant impact on main transmission vibration generation.
- Test results indicate that bull gearing vibration levels increase approximately 0.1 dB per degree Celsius increase in oil-in temperature to the gearbox (the baseline oil- in temperature of the S-76 ® main transmission is about 160°F (71°C) ) .
- the vibration levels of the S-76 ® bevel gearing stage exhibit a decreasing trend with increases in oil-in temperature while the vibration levels of the helical gearing stage show no constant trend with changes in oil-in temperature. Since the bevel gears are mounted on corresponding bull pinion shaft assemblies, the foregoing effects indicate that thermally induced gear mismeshing and not decreases in oil viscosity with increasing temperature are significantly affecting bull gearing vibration generation.
- a NASTRAN finite element model of the S-76 ® main transmission gearbox housing was developed to examine gearbox housing thermal expansion/deflection effects due to operating temperature.
- Localized surface areas of the upper and lower casings of the gearbox housing were instrumented to provide temperature data for selected housing surface areas.
- Test data indicates that temperature variations of about 0°C to about 4°C exist across such localized surface areas of the upper casing of the gearbox housing, that temperature variations of about 0°C to about 5°C exist across such localized surface areas of the lower casing of the gearbox housing, and that temperature variations of about 0°C to about 8°C exist between corresponding localized surface areas of the upper and lower casings of the gearbox housing.
- the temperature variations across such localized areas of the upper and lower casings, respectively, produce differential thermal expansion effects in the corresponding upper and lower casings of the gearbox housing, i.e., respective localized areas of the upper and lower casings of the gearbox housing experience different rates of thermal expansion (growth; deflections) .
- the temperature variations between corresponding localized areas of the upper and lower casings produce differential thermal expansion effects between the upper and lower casings.
- the transmission 100 comprises a housing 102 formed by an upper conical casing 104 secured in combination with a lower base casing 106 by means of bolts 108.
- the transmission housing 102 is typically machined from high strength-to-weight ratio materials such as AZ 91C or Z 60A magnesium alloys.
- a central bull gear 110 is mounted for rotation within the gearbox housing 102 by means of support bearings 112 disposed in combination with upper and lower stub axles 114, 116, respectively. Ends of the upper and lower stub axles 114, 116 are connected to the upper conical casing 104 and the lower base casing 106, respectively.
- Two bull pinions 118 are mounted for rotation within the gearbox housing 102 by means of pinion bearings 120, 122 disposed in combination with upper and lower pinion supports 124, 126, respectively. Ends of the upper and lower pinion supports 124, 126 are connected to the upper conical casing 104 and the lower base casing 106, respectively.
- Differential thermal expansion of localized areas of the upper conical casing 104 and/or the lower base casing 106 of the gearbox housing 102 causes relative displacements among the upper stub axle 114, the lower stub axle 116, the upper pinion support 124, and/or the lower pinion support 126, and in consequence, the bull pinions 118 and the -central bull gear 110.
- Such displacements directly affect the spatial orientations (meshing interactions) between the central bull gear 110 and the bull pinions 118. This, in turn, induces mismeshing between the teeth of the central bull gear 110 and the bull pinions 118, which results in increases in bull gearing vibration levels.
- the NASTRAN finite element model indicates that differential thermal expansion of respective localized areas of the magnesium gearbox housing produces relative radial displacements between the centerlines of the left and right bull pinions and the central bull gear by about 0.027 and 0.023 inches, respectively, at a stabilized oil-in temperature of about 160°F (71°C) .
- the predicted displacements increase to about 0.043 and 0.034 inches, respectively, at an oil-in temperature of about 230°F (110°C) .
- differential thermal expansion may induce canting between each bull pinion 118 and the central bull gear 110, as illustrated in Figure 4 (exaggerated for purposes of illustration) as contrasted with the idealized meshing relationship illustrated in Figure 2A.
- the bull gearing is designed for simultaneous meshing engagement across the face width of respective teeth of each bull pinion and the central bull gear.
- the induced canting between the bull pinions and the central bull gear causes respective teeth to be meshingly engaged over only a portion of the face width at any instant of time. Such induced canting also increases the vibration levels generated by the bull gearing.
- FIGS 5A, 5B illustrate the general configuration and terminology for the parameters of a conventional spur gear and spur gear tooth, respectively, as exemplified by the central bull gear 110 and/or the bull pinions 118 of the S- 76 ® transmission 100 described hereinabove.
- This terminology is utilized in the detailed description of the bull gearing configurational modifications comprising the present invention as presented hereinbelow.
- an involute is defined as the curve traced by a point on a line as the line rolls on a base circle BC (the involute curve establishes the tooth profile outward of the base circle) , as illustrated in Figure 5A. Accordingly, any straight line drawn tangent to the base circle BC is normal to the involute at its point of intersection.
- the base diameter BD defines the diameter of the base circle BC. The base diameter BD is a fundamental and cannot be changed for a given involute.
- the pitch circle PC of the gear illustrated in Figure 5A defines the curve of intersection of a pitch surface of revolution, i.e., imaginary planes, cylinders, or cones that roll together without slipping, and a plane of rotation.
- the pitch circle PC is an imaginary circle that rolls without slipping with respect to the pitch circle of an interacting gear.
- Pitch diameter PD defines the diameter of the pitch circle PC.
- the pitch circle PC exists as a valid gear parameter only when two involute profiles are in contact, i.e., interaction between gears.
- Diametral pitch DP is the ratio of the number of teeth to the number of inches in the pitch diameter PD.
- Circular pitch CP is the distance along the pitch circle PC between corresponding profile points of adjacent teeth.
- DP diametral pitch
- CP circular pitch CP
- Base pitch BP is similar to circular pitch CP, except measured with respect to the base circle BC.
- Root circle RC defines the tangent to the bottom lands BL between adjacent gear teeth in cross section.
- Root diameter RD defines the diameter of the root circle RC.
- the addendum circle AC coincides with the top lands TL of the individual gear teeth. Outer diameter OD defines the diameter of the addendum circle AC.
- the addendum Ad represents the radial distance between the pitch circle PC and the addendum circle AC (see also Figure-;5B) .
- the addendum Ad describes the radial distance by which individual gear teeth project beyond the pitch circle PC.
- the dedendum De represents the radial distance between the pitch circle PC and the root circle RC.
- the dedendum De defines the depth of tooth space below the pitch circle PC.
- Clearance Cl defines the amount by which the dedendum De exceeds the addendum Ad of an interacting gear.
- Working depth WD defines the depth of engagement of interacting gears, and equals the sum of the addenda Ad of such gears.
- Whole depth WhD is the total depth of a tooth space, and equals the addendum Ad plus the dedendum De.
- Whole depth WhD also equals the working depth WD plus the clearance Cl.
- the face Fa of a gear tooth is defined as the tooth surface thereof outside the pitch circle PC.
- the flank Fl of a gear tooth is defined as the tooth surface between the pitch circle PC and the root circle RC.
- the face width of each tooth is defined by FW.
- the tooth fillet radius TR describes the tooth surface intermediate the flank Fl and the bottom land BL.
- chordal addendum CA describes the minimum straight line distance between a top land TL and the corresponding face Fa - flank Fl definition line (the definition line, in turn, is defined by the intersection of the pitch circle PC with the involute surfaces of the individual gear teeth) .
- the chordal thickness CT describes the straight line distance between the face Fa - flank Fl definition lines of a gear tooth.
- Circular thickness CiT describes the length of the arc (along the pitch circle PC) between the face Fa - flank Fl definition lines of a gear tooth.
- Backlash Ba defines the amount by which the width of a tooth space exceeds the thickness of an engaging tooth on the pitch circles PC.
- the common normal or line of transmission is the straight line tangent to both base circles BC.
- This line may also be defined as the line of action or the pressure line.
- the pressure line intersects the line of centers of interacting gears at the pitch point P (for interacting gears with a constant angular-velocity ratio) .
- the pitch point P also describes the point where the pitch circles PC of interacting gears are tangent.
- Initial contact between interacting gear teeth occurs where the addendum circle AC of the driven gear intersects the pressure line, and final contact occurs where the addendum circle AC of the driving gear intersects the pressure line.
- the contact ratio for interacting gears is defined as the ratio of path contact to the base pitch.
- the useful component of force transmitted between interacting gears is that acting perpendicular to the line of centers.
- the angle between the pressure line and the perpendicular to the line of centers, defined as the pressure angle 0, is important in relation to the strength and wear of the gear teeth and in relation to the forces acting on the gear shaft and bearings.
- the pressure angle 0 exists as a valid gear parameter only when two involute profiles are in contact.
- the configurational parameters that define the bull gearing of the prior art S-76 ® transmission 100 described hereinabove, i.e., the bull pinions 118 and the central bull gear 110, are set forth in Tables I and II hereinbelow, respectively. These interacting gears have a design centerline spacing of about 14.75 inches (rounded-off to two significant digits) , based upon the respective pitch radii of the central bull gear 110 and the bull pinions 118.
- the bull pinions 118 are configured with a right-hand helix correction of about 0.0016 to about 0.0018 in/in to compensate for torque loading during operation of the transmission gearbox 100.
- Root Diameter 24.3600 - 24.3700"
- Chordal Tooth Thickness .2220 - .2235"
- the predicted displacements increase to about 0.043 and 0.034 inches, respectively, at an oil-in temperature of about 230°F (110°C) , i.e., the centerline spacing increases to about 14.793 and 14.784 inches, respectively.
- Such displacements in centerline spacing are mitigated to a certain degree by the corresponding thermal expansion of the steel bull gearing as described hereinabove.
- There is, however, a net increase in centerline spacing above the design centerline spacing such that the effective operating contact ratio of the prior art bull gearing is 1.52 (versus the design contact ratio of 1.60), which is sufficient to increase gearbox vibration levels.
- the base diameter BD of the base circle BC for the prior art bull gearing is a fixed fundamental for a given involute tooth profile.
- the pitch circles PC of the bull gearing defined by the respective pitch diameters PD, are based upon the interactions between the given involute tooth profiles of the prior art bull gearing.
- chordal addenda CA llgM for the gear teeth of the modified bull pinions 118M according to the present invention have a value within the range of about 0.2142 to about 0.2168 inches, as set forth in Table III and as schematically illustrated in
- FIG. 6B This represents about a 7.48 percent increase in the value of the chordal addendum CA, based upon the mean chordal addendum CA 118 of the prior art bull pinion 118, as set forth in Table I.
- the chordal addenda CA U0M for the gear teeth of the modified central bull gear 110M according to the present invention have a value within the range of about 0.1695 to about 0.1720 inches, as set forth in Table IV and as schematically illustrated in Figure 7B.
- Diameter Pins 5.1144 - 5.1172" Max. Involute Profile Error at T.I.F.: +.0002/-.0003 at Tip: - .0011/- .0015
- Root Diameter 24.3600 - 24.3700"
- Chordal Tooth Thickness .2220 - .2235"
- each gear tooth T.I.F. starts at a roll angle of 16° 2' (versus 16° 33' for the prior art bull pinions 118) and each gear tooth tip modification extends from a roll angle of 30° 25' ⁇ 1° 2' to a roll angle of 38° 23' (versus 30° 25' ⁇ 1° 2' to 37° 40' for the prior art bull pinions 118) .
- the iriaximum/minimum allowable involute profile error over such roll angles is greater for the modified bull pinion 118M as compared to the prior art bull pinion 118 (see Tables I and III for maximum/minimum allowable involute profile errors at the tooth tip) .
- the maximum T.I.F. diameter of the modified bull pinions 118M is less than the prior art bull pinions 118 so as to accommodate the increased chordal addenda CA 110M , i.e., tooth length, of the modified central bull gear 110M.
- the break edge of each gear tooth of the modified bull pinions 1I8M, which defines the top land TL n8M thereof, is about 0.005 - 0.010 rad.
- each gear tooth T.I.F. starts at a roll angle of 24° 31' (versus 24° 36' for the prior art central bull gear llOM) and each gear tooth tip modification extends from a roll angle of 27° 23' ⁇ 12' to a roll angle of 28° 42' (versus 27° 23' ⁇ 12' to 28° 33' for the prior art central bull gear 110) .
- the maximum/minimum allowable involute profile error over such roll angles is the same for both the modified central bull gear 110M and the prior art central bull pinion 110, except for the maximum/minimum allowable involute profile errors at the tooth tip (see
- each gear tooth of the modified central bull gear 110M is about 0.005 - 0.010 rad.
- the ends of each gear tooth may be optionally chamfered, as illustrated in Figure 7B.
- the inventors have described herein a modified transmission 100M wherein there is a high degree of commonality between the basic design parameters of the prior art transmission 100 and the modified transmission 100M of the present invention.
- the specific dimensions of the pitch diameter PD, the base circle diameter BD, and the root diameter RD are equivalent for the prior art transmission 100 and the modified transmission 100M of the present invention.
- the number of gear teeth, the diametral pitch DP, and the pressure angle are likewise equivalent. There is also substantial equivalence between the chordal thicknesses CT and the tooth fillet radii TR.
- the modified central bull gear 110M and the modified bull pinions 118M of the present invention are operative in interactive combination to provide an "effective" centerline spacing for the transmission 100. That is, the interactive combination of the modified central bull gear 110M and the modified bull pinions 118M provide operating contact ratios of about 1.83 (versus the design contact ratio of about 1.60) at engine start up.
- the effective centerline spacing of the bull gearing is substantially equal to the design centerline spacing due to the effect of the ' increased chordal addenda CA 110M , CA 118M , of the gear teeth of the modified central bull gear 110M and the modified bull pinions 118M, respectively.
- the operating contact ratio of the modified bull gearing of the present invention is substantially equal to the design contact ratio, i.e., about 1.60.
- the modifications to the bull gearing described hereinabove provide a reduction of about 2 to about 3 dB in bull gearing vibration levels.
- Figure 8 is a top plan view that schematically illustrates (exaggerated for purposes of illustration) the lead correction for the modified bull pinions 118M of the present invention.
- the lead correction for the modified bull pinions 118M of the present invention is a right-hand helix correction within the range of 0.0027 to about 0.0029 in/in, as set forth in Table III. This represents about a 165 percent increase in helix correction based upon the mean lead corrections of the prior art bull pinions 118 with respect to the modified bull pinions 118M of the present invention, as enumerated in Tables I and III, respectively. This increase is reflected in the value of the helix angle of the modified bull pinions 118M of the present invention, as set forth in Table III.
Landscapes
- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Aviation & Aerospace Engineering (AREA)
- Gears, Cams (AREA)
- Gear Transmission (AREA)
Abstract
Transmission dans laquelle des paramètres de configuration sélectionnés d'un engrenage droit en interaction sont modifiés pour réduire les niveaux de vibrations dudit engrenage, dues aux effets de la dilatation thermique différentielle du carter de la boîte de vitesses. Les saillies à la corde réelle de la denture de l'engrenage droit sont rallongées d'une quantité prédéterminée, basée sur le déplacement radial relatif calculé des axes centraux dudit engrenage dû aux effets de dilatation thermique différentielle, afin d'obtenir un engrenage droit modifié doté de diamètres extérieurs augmentés. Cet engrenage droit modifié fournit un espacement efficace des axes centraux pour la transmission de sorte que l'engrenage droit a un rapport de conduite de fonctionnement plus élevé que le rapport de conduite de conception au démarrage du moteur. Lorsque la transmission atteint des conditions de fonctionnement stabilisées, le rapport de conduite de fonctionnement de l'engrenage droit modifié est pratiquement égal au rapport de conduite de conception en raison des effets de la dilatation thermique différentielle sur le carter de la boîte de transmission. De plus, l'angle d'hélice de l'engrenage droit en interaction est considérablement augmenté pour contrecarrer les effets de la dilatation thermique différentielle du carter de la boîte de vitesses.A transmission in which selected configuration parameters of an interacting spur gear are changed to reduce the vibration levels of that gear due to the effects of differential thermal expansion of the transmission case. The real cord protrusions of the toothing of the spur gear are lengthened by a predetermined amount, based on the calculated relative radial displacement of the central axes of said gear due to the effects of differential thermal expansion, in order to obtain a modified spur gear with increased outside diameters. This modified spur gear provides efficient center line spacing for the transmission so that the spur gear has a higher operating line ratio than the design line ratio when the engine is started. When the transmission reaches stabilized operating conditions, the changed operating ratio of the spur gear is almost equal to the design ratio due to the effects of differential thermal expansion on the transmission case. In addition, the helix angle of the interacting spur gear is greatly increased to counteract the effects of differential thermal expansion of the transmission case.
Description
Claims
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US848623 | 1992-03-09 | ||
US07/848,623 US5271288A (en) | 1992-03-09 | 1992-03-09 | Helicopter noise reduction through gearing modifications |
PCT/US1993/001191 WO1993018320A1 (en) | 1992-03-09 | 1993-02-10 | Helicopter noise reduction through gearing modifications |
Publications (2)
Publication Number | Publication Date |
---|---|
EP0629269A1 true EP0629269A1 (en) | 1994-12-21 |
EP0629269B1 EP0629269B1 (en) | 1996-09-25 |
Family
ID=25303821
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
EP93905860A Expired - Lifetime EP0629269B1 (en) | 1992-03-09 | 1993-02-10 | Helicopter noise reduction through gearing modifications |
Country Status (9)
Country | Link |
---|---|
US (1) | US5271288A (en) |
EP (1) | EP0629269B1 (en) |
JP (1) | JPH07504735A (en) |
KR (1) | KR100310890B1 (en) |
CA (1) | CA2131810C (en) |
DE (1) | DE69305068T2 (en) |
RU (1) | RU2093741C1 (en) |
TR (1) | TR26844A (en) |
WO (1) | WO1993018320A1 (en) |
Families Citing this family (15)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
IL108101A0 (en) * | 1992-12-30 | 1994-04-12 | United Technologies Corp | Gear teeth and a method of forming same |
US5716300A (en) * | 1996-05-01 | 1998-02-10 | Sikorsky Aircraft Corporation | Isolated ring gear for planetary gear drive systems |
US5807202A (en) * | 1996-09-04 | 1998-09-15 | Sikorsky Aircraft Corporation | Differential speed transmission |
US6282502B1 (en) * | 1998-03-31 | 2001-08-28 | Eastman Kodak Company | Method of designing uniform motion, substantially vibration-free spur gears |
WO2000054569A1 (en) * | 1999-03-16 | 2000-09-21 | Kverneland Kerteminde A/S | Gear box housing |
US6918181B2 (en) * | 2002-11-12 | 2005-07-19 | Sikorsky Aircraft Corporation | Gear tooth topological modification for reducing noise and vibration in transmission systems |
EP1939493B1 (en) * | 2006-12-29 | 2009-03-25 | Agusta S.p.A. | Modified gear tooth profile for an aircraft transmission and producing method |
US8791012B2 (en) * | 2007-03-21 | 2014-07-29 | Texas Instruments Incorporated | Methods and apparatus for manufacturing semiconductor devices |
US7792651B2 (en) * | 2007-04-26 | 2010-09-07 | General Electric Company | Methods and systems for computing gear modifications |
US8578807B2 (en) * | 2011-04-21 | 2013-11-12 | The Penn State Research Foundation | High speed gear sized and configured to reduce windage loss |
US20130068057A1 (en) * | 2011-09-16 | 2013-03-21 | Hamilon Sundstrand Corporation | Idler gear assembly for a generator |
US10599165B2 (en) * | 2017-11-15 | 2020-03-24 | Hamilton Sundstrand Corporation | Governor and inversion pump drive gear |
JP6895587B2 (en) * | 2018-06-08 | 2021-06-30 | ジヤトコ株式会社 | Case |
RU2741136C1 (en) * | 2020-09-03 | 2021-01-22 | Общество с ограниченной ответственностью «ДИАМ-АЭРО» | Control system and transfer of rotary moment to screw(s) in unmanned aerial vehicles (uav), starter-generator, starter-generator control board and shock absorber for this system |
CN113010978A (en) * | 2021-02-09 | 2021-06-22 | 中国航发哈尔滨东安发动机有限公司 | Aviation straight gear shaping method based on dynamic simulation |
Family Cites Families (14)
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US3881364A (en) * | 1974-03-22 | 1975-05-06 | William S Rouverol | Low noise gearing |
JPS51117256A (en) * | 1975-04-07 | 1976-10-15 | Hasegawa Haguruma:Kk | Double-contact two-line meshing type wn gear |
CA1035599A (en) * | 1975-04-16 | 1978-08-01 | Kabushiki Kaisha Hasegawa Haguruma | Multiple-contact type w-n gear |
US4051492A (en) * | 1976-01-13 | 1977-09-27 | Polaroid Corporation | Photographic apparatus gear train having a unique set of gears |
US4259875A (en) * | 1978-08-07 | 1981-04-07 | Rouverol William S | High-torque low-noise gearing |
US4276785A (en) * | 1979-11-16 | 1981-07-07 | Rouverol William S | Low-noise gearing |
US4589300A (en) * | 1984-08-17 | 1986-05-20 | Rouverol William S | Low transmission error gearing |
US4651588A (en) * | 1986-03-03 | 1987-03-24 | Rouverol William S | Low-excitation gearing |
US4890504A (en) * | 1986-07-30 | 1990-01-02 | Emerson Electric Co. | Helical gearsets |
SU1537930A1 (en) * | 1987-12-21 | 1990-01-23 | Криворожский горнорудный институт | Toothed gearing |
WO1989009354A1 (en) * | 1988-03-29 | 1989-10-05 | Rostovsky Gosudarstvenny Universitet Imeni M.A.Sus | Novikov gear transmission |
FR2638803A1 (en) * | 1988-11-05 | 1990-05-11 | Zahnradfabrik Friedrichshafen | GEAR WITH LOW NOISE EMISSION, AND METHOD FOR MANUFACTURING THE SAME |
JPH0328565A (en) * | 1989-06-24 | 1991-02-06 | Nissan Motor Co Ltd | Noise reducing gear |
JPH0369844A (en) * | 1989-08-07 | 1991-03-26 | Hitachi Powdered Metals Co Ltd | Gear |
-
1992
- 1992-03-09 US US07/848,623 patent/US5271288A/en not_active Expired - Lifetime
-
1993
- 1993-02-10 JP JP5515678A patent/JPH07504735A/en active Pending
- 1993-02-10 DE DE69305068T patent/DE69305068T2/en not_active Expired - Fee Related
- 1993-02-10 WO PCT/US1993/001191 patent/WO1993018320A1/en active IP Right Grant
- 1993-02-10 CA CA002131810A patent/CA2131810C/en not_active Expired - Fee Related
- 1993-02-10 RU RU9394040908A patent/RU2093741C1/en active
- 1993-02-10 EP EP93905860A patent/EP0629269B1/en not_active Expired - Lifetime
- 1993-03-08 TR TR00249/93A patent/TR26844A/en unknown
-
1994
- 1994-09-09 KR KR1019940703199A patent/KR100310890B1/en not_active IP Right Cessation
Non-Patent Citations (1)
Title |
---|
See references of WO9318320A1 * |
Also Published As
Publication number | Publication date |
---|---|
DE69305068T2 (en) | 1997-04-30 |
RU2093741C1 (en) | 1997-10-20 |
JPH07504735A (en) | 1995-05-25 |
WO1993018320A1 (en) | 1993-09-16 |
EP0629269B1 (en) | 1996-09-25 |
KR100310890B1 (en) | 2001-12-28 |
KR950701050A (en) | 1995-02-20 |
TR26844A (en) | 1994-08-19 |
DE69305068D1 (en) | 1996-10-31 |
US5271288A (en) | 1993-12-21 |
RU94040908A (en) | 1996-08-10 |
CA2131810C (en) | 1996-10-01 |
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